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1) natural number or whole number

2) rational number

3) irrational number

4) integer

5) associative property under with respect to multiplication over addition

6) left distributive property with respect to multiplication over subtraction

7) communitative property under addition

8) right distributive property with respect to multiplication over addition

9) +7

10) -4/9

11) -3.8

12) root -5

Step-by-step explanation:

Step-by-step explanation:

1) rational number

2) 5/4 = 1.25  rational number

3) √11  irrational number

4) - 12  rational number

5) (6*8) *5 = 6*(8*5)  Associative property of multiplication

6)  7*(9-5) = 7*9 - 7*5   Distributive property upon subtraction

7)  84 + 16 = 16 +84  Commutative property of  addition

8) (12 +5) *6 = 12*6 + 5*6 Distributive property upon addition

     Given number      additive inverse      multiplicative inverse

9)       - 7                            +7                            

10)                                                            

11)  3.8                               -3.8                        

12) √5                               -√5                        

Hint:

To find additive inverse, just reverse it's sign

a  additive inverse is -a

-a  additive inverse  is  a

Multiplicative inverse of a number 'x' is 1/x

Multiplicative inverse of a fraction a/b is b/a

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.